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12126632 = 237832609
BaseRepresentation
bin101110010000…
…100110101000
3211211002121112
4232100212220
511101023012
61111525452
7205034420
oct56204650
924732545
1012126632
116932a11
124089888
13268782b
141879480
1510e8122
hexb909a8

12126632 has 32 divisors (see below), whose sum is σ = 26308800. Its totient is φ = 5132544.

The previous prime is 12126629. The next prime is 12126637. The reversal of 12126632 is 23662121.

It is a junction number, because it is equal to n+sod(n) for n = 12126598 and 12126607.

It is not an unprimeable number, because it can be changed into a prime (12126637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3344 + ... + 5952.

It is an arithmetic number, because the mean of its divisors is an integer number (822150).

Almost surely, 212126632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12126632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154400).

12126632 is an abundant number, since it is smaller than the sum of its proper divisors (14182168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12126632 is a wasteful number, since it uses less digits than its factorization.

12126632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2701 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 12126632 is about 3482.3314029541. The cubic root of 12126632 is about 229.7453514357.

Adding to 12126632 its reverse (23662121), we get a palindrome (35788753).

The spelling of 12126632 in words is "twelve million, one hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 1162 2324 2609 4648 5218 10436 18263 20872 36526 73052 146104 216547 433094 866188 1515829 1732376 3031658 6063316 12126632